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Lab technicians at a major mdical lab can process an average of 400 blood samples a day with a standard deviation of 50 samples. The processing follows a normal distribution.
Convert 445 blood samples into a z-value (standard score).
What is the area under the normal curve between 400 and 482?
What is the area under the normal curve for ratings greater than 482?
Interpret the result. What does the standard score represent? What does the area under the normal curve mean?
Fred received the following scores for his gymnastics routine: 8.5, 7.8, 8.0, 6.8, 7.1, 7.6. To figure out his score, the judges drop the highest and lowest score and then average the rest of his scores.
Using a normal distribution with a mean of 1118 and a standard deviation of 52 for the weights of steers, what percent of steers weigh over 1250 pounds, under 1100 pounds, between 1000 and 1150 pounds.
Compute the coefficient of determination, r 2 , and interpret its meaning.
Suppose that the average annual salary for a worker in the United States is $30,000 and that annual salaries for Americans are normally distributed with a standard deviation equal to $7,000. Determine the following:
Construct a 95% confidence interval for the population mean.
Polls showed the two main candidates in 2004 presidential election were nearly tied on the day before the election. To predict the winner a newspaper would like to have a poll that has a margin of error of less than 1%.
Assuming that the population standard deviations are the same, perform a two independent samples t-test on the hypotheses Null Hypothesis: μ1 = μ2, Alternative Hypothesis: μ1 ≠ μ2. What is the test statistic and p-value of this test?
Explain why random samples are preferred to nonrandom samples.
An automobile manufacturer has a new model that they claim gets 27 miles per gallon. A consumer testing agency chooses 50 of these cars and finds that the sample mean is 25 miles per gallon and the sample standard deviation (s) is 3 miles per gall..
By using the 0.10 level of significance, is there evidence that the population mean is above the $300?
Construct a frequency distribution of the sample mean, and plot a histogram of this distribution. Use the central limit theorem to calculate and identify the sampling distribution of the sample mean.
Compute mean x and standard deviation s of data above. Calculate Ho by using traditional/classical method.
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